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3 years ago

There are 5 comedy, 8 action, and 11 children DVDs on a rack. Susan randomly selects 3 of them. What is the probability that she

selects a comedy, followed by an action, then a children's?

Mathematics

1 answer:

ipn [44]3 years ago

5 0

$|\Omega|=24\cdot23\cdot22=12144\\
|A|=5\cdot8\cdot11=440\\\\
P(A)=\dfrac{440}{12144}=\dfrac{5}{138}$

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a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola

Jet001 [13]

Answer:

The vertex form of the equation is $y = -\frac{1}{3}( x-1)^{2} +1$ .

Step-by-step explanation:

You will use the equation $y=a(x-h)^{2} +k$ to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get $y= a(x - 1)^{2} +1$ .

Then, we substitute the point as our x and y to get $-2 = 9a+1$ (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the $9a$ to get $9a = 3$ . Finally, divide by 9 on both sides to get $a=\frac{1}{3}$ .

Now, substitute your $a$ back into the equation to get y = $-\frac{1}{3}(x-1)^{2}+1$ .

This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get $y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}$ .

5 0

4 years ago

Which expression is equivalent to 24?<br> O 2√3<br> 23√/3<br> O 2√6<br> O 23√√6

vredina [299]

$24^{1/3}=\sqrt[3]{24}=\sqrt[3]{8 \cdot 3}=\sqrt[3]{8}\sqrt[3]{3}=\boxed{2\sqrt[3]{3}}$

5 0

2 years ago

Greg buys 2 puzzles from a garage sale. Each puzzle costs $4. Which graph

Tanya [424]

Answer:

bottom right

Step-by-step explanation:

for the side that says total cost u go up to 4 and for the one that says number of puzzles u go two over

7 0

3 years ago

Candace runs a company that installs fences. She calculates the total cost C of installing a fence using the function rule C(x)

maksim [4K]

Answer:

Step-by-step explanation:

8 0

4 years ago

What is the exact value of the expression the square root of 20. + the square root of 24. - the square root 54.? simplify if pos

aksik [14]

$\sqrt{20} = \sqrt{4} \sqrt{5} = 2 \sqrt{5}$
$\sqrt{24} = \sqrt{4} \sqrt{6} = 2 \sqrt{6}$
$\sqrt{54} = \sqrt{9} \sqrt{6} = 3 \sqrt{6}$

Because you can only add and subtract radicals with the same radicand,
you get 2 $\sqrt{5} - \sqrt{6}$
that is the simplified answer but if you want it in decimals, 2.022 is what you get.

4 0

3 years ago

Read 2 more answers